GCD of 496, 928, 52, 378 Calculator

Given Input numbers are 496, 928, 52, 378

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 496, 928, 52, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 928, 52, 378 is 2.

Therefore, GCD of numbers 496, 928, 52, 378 is 2

Given Input Data is 496, 928, 52, 378

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(496, 928) = 28768

GCD(496, 928) = ( 496 x 928 ) / 28768

GCD(496, 928) = 460288 / 28768

GCD(496, 928) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 52

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(16, 52) = 208

GCD(16, 52) = ( 16 x 52 ) / 208

GCD(16, 52) = 832 / 208

GCD(16, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 378

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 378) = 756

GCD(4, 378) = ( 4 x 378 ) / 756

GCD(4, 378) = 1512 / 756

GCD(4, 378) = 2

GCD of 496, 928, 52, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 100, 75, 317
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• GCD of 652, 537, 12, 984
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• GCD of 965, 745, 95, 772

1. What is the GCD of 496, 928, 52, 378?

GCD of 496, 928, 52, 378 is 2

2. Where do I get the detailed procedure to find GCD of 496, 928, 52, 378?

You can find a detailed procedure to find GCD of 496, 928, 52, 378 on our page.

3. How to find GCD of 496, 928, 52, 378 on a calculator?

You can find the GCD of 496, 928, 52, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.